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Finding the Fourth Proportional to 43,729.60, 65,660.40 and 34,938.40

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Solution

The fourth proportional to 43,729.60, 65,660.40 and 34,938.40 is: 52,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,729.60 : 65,660.40 = 34,938.40 : x
  2. Step 2: Convert to fraction form
    43,729.60/65,660.40 = 34,938.40/x
  3. Step 3: Cross multiply
    43,729.60x = 65,660.40 × 34,938.40
  4. Step 4: Simplify right side
    43,729.60x = 2,294,069,319.36
  5. Step 5: Solve for x
    x = 2,294,069,319.36/43,729.60
  6. Step 6: Final answer
    x = 52,460.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.